QUESTION IMAGE
Question
find the relative rate of change of f(x) at the indicated value of x. f(x)=53; x = 90 the relative rate of change of f(x) is
Step1: Recall the formula for relative rate of change
The relative rate of change of a function $y = f(x)$ is given by $\frac{f'(x)}{f(x)}$.
Step2: Differentiate $f(x)$
Since $f(x)=53$ is a constant function, its derivative $f'(x) = 0$.
Step3: Calculate the relative rate of change
Substitute $f'(x)=0$ and $f(x) = 53$ into $\frac{f'(x)}{f(x)}$, we get $\frac{0}{53}=0$.
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